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Comments:
<0> srepfler - if you mean 'showing its work step-by-step', then no, not in general. <1> srepfler: yes, with Trace <0> Is that useful? <1> I'm not so sure it is <1> probably in some situations <0> % Trace[Integrate[Sin[x^2] Log[x^3], x]] <2> Catfive: {{HoldForm[Sin[x^2]*Log[x^3]], HoldForm[Log[x^3]*Sin[x^2]]}, HoldForm[Integrate[Log[x^3]*Sin[x^2], x]], HoldForm[((-3*I)/4)*(2*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, (-I)*x^2] - 2*x* <2> HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, I*x^2] + (-1)^(3/4)*Sqrt[Pi]*(Erf[(-1)^(1/4)*x] - Erfi[(-1)^(1/4)*x])*Log[x]) + Sqrt[Pi/2]*FresnelS[Sqrt[2/Pi]*x]*(-3*Log[x] + Log[x^3])]} <1> but if I get it right it does not help, in steps, to differentiate Sin[x^2] or similar <0> yeah, not really. :) <0> there are some packages designed for education specifically to do that; there's one for differentiation, for instance. <3> that go with mathematica or are extra packages? <4> what is the derivative of this ? (ln(x))^2 * (e^x + sin(x)) <4> for the first term do i pose x^a = ax^a-1 ? <4> i think i do <1> anubiss: rather: derivative of (f(x))^2 is 2 f(x) f'(x)
<4> then whats the derivative of sin(x) <1> or in general: derivative of f(x)^n is n f(x)^(n-1) f'(x) <4> so thats 2ln(x) <1> no <1> 2 ln(x) times the derivative of ln(x) <4> thats my whole answer ? <1> no <1> for the whole thing, note that you have a product, and use the product rule <4> mmm <4> so i treat the 2 term separately <0> srepfler - http://library.wolfram.com/webMathematica/Education/WalkD.jsp <2> Title: Step-by-Step Derivatives, http://tinyurl.com/yejbb8 <5> sorry <5> whats the link for me ? <3> no for me <5> that step by step derivative <3> I didn't ask for quite that, but I appreciate it :) <5> how do i write square root 1+x in wolfram ? <6> anubiss_: Sqrt[1+x] <6> % Integrate[Ln[x]/(1+x^19),x] <2> excelblue: Integrate[Ln[x]/(1 + x^19), x] <3> I being a programmer miss stuff like code completion in Mathematica <5> thanks <3> it's just odd that they didn't add it yet <5> is this correct ? <5> (ln[x]^2) * (e^x + sin[x]) <5> for wolfram <5> so the derivative of e^x is still e^x <7> MECU: one warning, if you are using the gimp animation plug-in you want to have a lot of RAM, a gig or more <7> whoops, wrong channel <8> % solve [sqrt: 234567] <2> SonicChao: solve[sqrt:234567] <8> :/ <9> simplify maybe? <8> % solve [sqrt(234567)] <2> SonicChao: solve[234567*sqrt] <8> %solve [sqrt(234567)] <9> % simplify[sqrt[234567]] <2> Smad2: simplify[sqrt[234567]] <9> lol <8> Lol :P <8> I'm trying to do the Square Root Algorithm. <8> And it's not going so well :P <9> =P <9> the digit by digit one? <8> I think so. <8> I'm at '48' and didnt understand what to do after that... <7> sonic, which one? <8> The one explained at the top of http://www.geocities.com/cnowlen/Cathy/Emat4680/Squareroot.htm <2> http://tinyurl.com/y8uzde <7> is it the one that sorta looks like long division? <8> Yes <5> (ln^2)(sin(Sqrt[1+x]) <5> whats wrong here <7> fine, it's based on (a+b)^2=a^2+2ab+b^2=a^2+(2a+b)b <8> The square root thing? <7> yes <8> erm... <7> check out <7> http://www.homeschoolmath.net/teaching/sqr-algorithm-why-works.php <2> Title: Why the square root algorithm works, http://tinyurl.com/74daf
<5> help <5> (ln^2)(sin(Sqrt[1+x]) <5> wolfram wont take this <10> anubiss_: Maybe because you're not writing it according to Mathematica syntax. <8> Ok <5> i know, but whats wrong? <10> > Log[Log[Sin[Sqrt[1+x]]]]] <2> Parse error <8> ah ha! :D <10> > Log[Log[Sin[Sqrt[1+x]]]] <2> Not in scope: `x' <10> > Diff[Log[Log[Sin[Sqrt[1+x]]]],x] <2> Not in scope: `x' <10> > D[Log[Log[Sin[Sqrt[1+x]]]],x] <2> Not in scope: `x' <10> > Maximize[Log[Log[Sin[Sqrt[1+x]]]],{x}] <2> Parse error <10> grmbl.... Never mind then. <0> try % <5> then, the derivative of: (ln^2)(sin(Sqrt[1+x]) is ln(cos(Sqrt[1+x])) / Sqrt[1+x] ? <8> I got to 484, right? But now I do not know what to do after the decimal. <8> Or to calculate the decimal using the sqrt algorithm. <7> sonic: forget the algorithm. screw it. how you YOU find a sqrt? <8> Calculator usually :P <7> go with god <8> :P <9> sonic i dont know the algo, but you should be able to find the digits about the decimal <9> if you're finding sqrt[x], try finding sqrt[100x] <9> then you'll get an extra digit :P <8> Heh... <9> the site shows an example of getting the decimal point =/ <9> just take down 00 <8> But I don't get it D: <8> I'm not that smart :P <8> ah. So THEN, my numbers will make sense <8> XD ty <11> Hm what's the intgrate for the following crap , ops function : ((n^(4))*x)/(e^((n^2)*) <12> really ugly <7> govner: what's with the * on the end, and what are you d's? dx? dn? dxdn? de? <13> isn't sqrt(ab)=sqrt(a)*sqrt(b)? <9> for positive reals a b :p <7> Manyfold: trolling are you? never expected that <14> anyone here familiar with SBP operators and SAT b.c. (semi descrete form of a PDE) <11> TRWBW3 ops : ((n^(4))*x)/(e^((n^2)*x) <11> anyone ? <6> govner: you're integrating with respect to? <11> yes yes lots of respect towards this crap :P <15> heh <11> |Steve| instead of heheing how about helping me with this you know what.. <0> govner, what's an antiderivative of f(x) = x/e^(ax) ? <15> How about you answer excelblue's question. <6> are you integrating with respect to n, x, or even treating 2 or 4 as a constant? <15> (Don't let the presence of the interrogative fool you. The absence of the question mark should make it clear I wasn't asking a question.) <11> hm <11> i thought you were laughing :X <6> at the end, does it say dn, dx, d2, d4? <11> n is a constant i believe <6> or even something like de <6> heh... what does the whole equation look like on the paper... <7> i once worked on a piece of numerical physics code where the original progammer #define'd TWO to 2 and THREE to 3. i guess he figured he wanted to code to be flexible enough to run for alternative values of three <6> so you have the S for the integral, the formula, and what's at the end? <15> You're also missing a parenthesis. <11> g(x)=(n^4 * x )/ (e^(n^2 *x)) <6> dx, dn? <11> that's it excelblue <7> it's iggy time <11> iggy ? <6> alright, and you need to integrate g(x)? <11> i dont think so <11> first time i come across something that has crap in base and counter :X <6> so... what are you to do with g(x)? <6> or what do you need to do with it? <11> i need to integrate it
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